Atkin-Lehner |
2+ 5+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
85550d |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18524160 |
Modular degree for the optimal curve |
Δ |
4496721875000 = 23 · 58 · 293 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -5 1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3587338292,82701107066616] |
[a1,a2,a3,a4,a6] |
j |
326753829460192278579633967761/287790200 |
j-invariant |
L |
0.30104438946653 |
L(r)(E,1)/r! |
Ω |
0.15052218771567 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17110f1 |
Quadratic twists by: 5 |